Question

If the equation of the circle x square + y square + 2gx +2fy + c is given then find its radius

Answer 1

Answer:

x^2 + 2gx +y^2 + 2fy = -c

Add g^2 + f^2 to both sides to complete the squares

x^2 + 2gx +g^2 +y^2 +2fy +y^2 = g^2 + f^2 - c

(x+g)^2 + (y + f)^2 = g^2 +f^2 - c

Radius = ((x+g)^2 + (y + f)^2)^0.5 = (g^2 +f^2 - c)^0.5

Step-by-step explanation:

i hope it's helpful.......